Much of the propaganda published by the Federal Government, FERC, EIA agencies and Natural Gas lobbyists groups state that gas and pipeline companies own the underground storage caverns on private property. This is false fake propaganda. I am encouraged to see some published opinions are beginning to challenge this false propaganda.
If it's established case law in Texas and every other state that I have researched, is that the owner of the intersitual space is owned by the owner of the soil (surface owner).
Many landowners back in the 1950's were coerced into signing crooked "perpetual leases" that bind all future heirs to the leases. These landowners were coerced into signing these leases under threat of eminent domain (might as well sign we are going to get it anyway.)
In my state, Mississippi, the supreme court has spoken against perpetual leases and many states have legislation against these leases.